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Harmanus Batkunde
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Tensor: Pure and Applied Mathematics Journal
Published by Universitas Pattimura
ISSN : 27230325     EISSN : 27230333     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Tensor: Pure and Applied Mathematics Journal is an international academic open access journal that gains a foothold in the field of mathematics and its applications which is issued twice a year. The focus is to publish original research and review articles on all aspects of both pure and applied Mathematics. It Publishes original research papers of the highest Algebra Analysis Discrete Mathematics Geometry Number Theory Topology Applied Mathematics Computational Mathematics Probability Theory and Statistics
Arjuna Subject : Matematika - Matematika Terapan
Articles 66 Documents
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Flower Pollination Algorithm for Vehicle Routing Problem with Time Windows (VRPTW) Asri Bekti Pratiwi; Ismi Yayuk Rakhmawati; Edi Winarko
Tensor: Pure and Applied Mathematics Journal Vol 2 No 2 (2021): Tensor : Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss2pp45-52

Abstract

Vehicle Routing Problem with Time Windows (VRPTW) is a vehicle route deciding problem that is used in order to serve customer who involved more than one vehicle with a limited time, so as a minimum distance route is obtained without disobeying vehicle capacity cargo restriction and time range. Flower Pollination Algorithm (FPA) is an algorithm which inspires from nature and that is flower pollination process toward a plant. Within an FPA, there are two main steps to use, they are global flower pollination and local flower pollination. Those two steps are determined by using switch probability parameter. This program is made in Java language program to apply FPA in solving VRPTW which is implemented in three example cases, they are small-scale datum with 25 customers, medium-scale datum with 50 customers, and big-scale datum with 100 customers. According to the results, it can be concluded that the larger number of flowers and iterations can affect the number of total minimum travel distance become smaller. Furthermore, a better total minimum travel distances also will be obtained if the value of switch probability parameter is larger.
Forecasting the Ambon City Consumer Price Index Using Arima Box-Jenkins Jefry Esna T. Radjabaycole; Ronald John Djami; Gabriella Haumahu
Tensor: Pure and Applied Mathematics Journal Vol 2 No 2 (2021): Tensor : Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss2pp87-96

Abstract

The Consumer Price Index is an index number that measures the average price of goods and services consumed by households. The index number is the price comparison in a certain month against the previous month, in which case the price in the previous month is the price in the base year in the CPI calculation. CPI is time series data, so CPI data in the next period can be known by forecasting through time series analysis. Arima is a technique for finding the most suitable pattern from a group of data (curve fitting). Based on the results of the analysis, the best ARIMA model used in forecasting CPI in Ambon city for the period January 2007 to December 2020 is the ARIMA model (1,1,1), namely 1 = 0.9000 and 1 = 0.9933.
Perancangan Sistem Deteksi Plagiarisme Skripsi (Judul Dan Abstrak) Berbasis Matlab Menggunakan Algoritma Winnowing Monalisa E. Rijoly; Windy Pramudita; Berny Pebo Tomasouw; Zeth Arthur Leleury
Tensor: Pure and Applied Mathematics Journal Vol 2 No 2 (2021): Tensor : Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss2pp67-76

Abstract

Plagiarism is an act of plagiarizing the work of others who will then acknowledge the work as one's own work without mentioning the source of the work. This research aims to create a plagiarism detection system using the winnowing algorithm in MATLAB to prevent plagiarism in the final project of the Mathematics Department students. In order to get the best k-gram value and window size that will be used in the system, a testing process is carried out between document I (100% data) and document II (80% data) by using variations in k-gram values ​​and window sizes. The test results show that the best k-gram ​​and window size are 12 and 4.
The Modular Irregularity Strength of Triangular Book Graphs Meilin Imelda Tilukay
Tensor: Pure and Applied Mathematics Journal Vol 2 No 2 (2021): Tensor : Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss2pp53-58

Abstract

This paper deals with the modular irregularity strength of a graph of vertices, a new graph invariant, modified from the well-known irregularity strength, by changing the condition of the vertex-weight set associate to the irregular labeling from distinct positive integer to -the group of integer modulo . Investigating the triangular book graph , we first find the irregularity strength of triangular book graph , which is also the lower bound for the modular irregularity strength, and then construct a modular irregular -labeling. The result shows that triangular book graphs admit a modular irregular labeling and its modular irregularity strength and irregularity strength are equal, except for a small case.
Forecasting The Production of Crude Palm Oil (CPO) in Indonesia 2022 using the Grey(1.1) Model Nur'ainul Miftahul Huda; Nurfitri Imro'ah; Dea Rizki Darmawanti
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp1-10

Abstract

Crude Palm Oil (CPO) is a vegetable oil produced from oil palm fruit plants. Palm oil can be used for many things, including for various foods, cosmetics, hygiene products, and can also be used as a source of biofuel or biodiesel. Indonesia is a country with the most CPO production in the world. However, the development of CPO production must be appropriately managed to meet demand from other countries. Therefore, this study aims to predict CPO production in 2022. One of the appropriate statistical methods is the Grey(1.1) model. This model was chosen based on the availability of CPO production data by the Central Statistics Agency, which only presents annual data from 2017 - 2021. So, the number of observations that can be used to predict CPO production in Indonesia is only five observations. The Grey(1.1) model can cover problems in the availability of small amounts of data. There are three main steps in the modelling procedure with Grey(1,1) model, namely forming an Accumulated Generated Operation (AGO) sequence, then forming a Mean Generating Operation (MGO) sequence, and the last step is a prediction with Inverse AGO (1-AGO). This study obtained the 1-AGO sequence on the Grey(1.1) model for CPO production in Indonesia with outstanding accuracy, namely the Mean Absolute Percentage Error (MAPE) value of 0.01%. In addition, a prediction of CPO production in Indonesia for 2022 is made, which is 52590612.99 (an increase of 2339783.668 from 2021).
Optimization of Assignment Problems using Hungarian Method at PT. Sicepat Express Ambon Branch (Location: Java City Kec. Ambon Bay) Ardial Meik; Venn Yan Ishak Ilwaru; Monalisa E. Rijoly; Berny Pebo Tomasouw
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp23-32

Abstract

One of the special cases of problems in linear programming that is often faced by a company in allocating its employees according to their abilities is the assignment problem. The assignment problem can be solved using the Hungarian Method. In applying the Hungarian method, the number of employees assigned must be equal to the number of jobs to be completed. In this study, the Hugarian method was used to optimize the delivery time of goods from PT. SiCepat Express Ambon Branch – Java City. To solve the assignment problem at PT. SiCepat Express Ambon Branch – Java City, the required data includes employee names, destination locations, and delivery times. Before using the Hungarian method, the total delivery time of 7 employees at 10 destinations is 955 minutes. However, after using the Hungarian method, the total delivery time of 7 employees at 10 destination locations was 440 minutes. It can be seen that there are 515 minutes of time effisiency. We also Solved this assignment problem uses the QM For Windows Version 5.2 software and go the same amount of time, which is 440 minutes.
Perbandingan Logika Fuzzy Metode Sugeno dan Metode Mamdani Untuk Deteksi Dini Penyakit Stroke Dorteus Lodewyik Rahakbauw; Adya Afriananda; Henry W. M. Patty
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp11-22

Abstract

Stroke is a neurological function disorder caused by disruption of blood flow in the brain that arises suddenly and acutely within a few seconds or more precisely within a few hours that lasts more than 24 hours with symptoms or signs according to the affected area. Early detection of stroke usually takes a long time. With advances in technology, stroke can be prevented by detecting the risk early so that it can be treated quickly and increase the chances of recovery. The discussion of this research is about early detection of stroke risk by comparing using fuzzy logic Sugeno method and Mamdani method and using patient data at Dr. Hospital. H. Isaac Umarella. By using input variables in the form of: blood pressure, age, LDL, and blood sugar levels. Based on the results obtained from the calculation of Error with Mean Absolute Percentage Error (MAPE), the level of truth of the calculation of the Sugeno method is 87%, while the truth level of the Mamdani method is 85% so that it can be said that both methods get good results but Sugeno's fuzzy logic is superior with a value of small MAPE. In conclusion, fuzzy logic with the Sugeno method can be used in early detection of stroke risk.
Classification of Village Status in Landak Regency Using C5.0 Algorithm Mutiara Cindy Nur Fitria; Naomi Nessyana Debataraja; Setyo Wira Rizki
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp33-42

Abstract

Kajian Grup Galois Isomorfis dengan Grup Alternating A5 Henry Willyam Michel Patty; Fandy Sanudin; Francis Yunito Rumlawang; Dyana Patty
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp49-56

Abstract

The total irregularity strength of m copies of the friendship graph Meilin Tilukay; Harmanus Batkunde
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp43-48

Abstract

This paper deals with the totally irregular total labeling of the disjoin union of friendship graphs. The results shows that the disjoin union of copies of the friendship graph is a totally irregular total graph with the exact values of the total irregularity strength equals to its edge irregular total strength.

Page 3 of 7 | Total Record : 66

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